146414105880 has 128 divisors (see below), whose sum is σ = 502210990080. Its totient is φ = 33451430400.

The previous prime is 146414105843. The next prime is 146414105923. The reversal of 146414105880 is 88501414641.

146414105880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1942905 + ... + 2016855.

It is an arithmetic number, because the mean of its divisors is an integer number (3923523360).

Almost surely, 2^146414105880 is an apocalyptic number.

146414105880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146414105880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251105495040).

146414105880 is an abundant number, since it is smaller than the sum of its proper divisors (355796884200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

146414105880 is a wasteful number, since it uses less digits than its factorization.

146414105880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76329 (or 76325 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 146414105880 in words is "one hundred forty-six billion, four hundred fourteen million, one hundred five thousand, eight hundred eighty".